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appears in Eqn (9.23) through the terms on the right-hand side. Finally, the six linear Eqns (9.23) can be inverted to produce equations for a, of the form of Eqn (9.17). With the six elements a, e, i, m, and e, these equations, known as 'Lagrange's planetary equations', are

tan 2 i na2q 1

na2e

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